A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom

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KULVIETIENE, Regina ;KULVIETIS, Genadijus ;TUMASONIENE, Inga .
A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 52, n.5, p. 309-316, august 2017. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/a-symbolic-numeric-vibrations-analysis-of-systems-with-many-degrees-of-freedom/>. Date accessed: 29 oct. 2020. 
doi:http://dx.doi.org/.
Kulvietiene, R., Kulvietis, G., & Tumasoniene, I.
(2006).
A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom.
Strojniški vestnik - Journal of Mechanical Engineering, 52(5), 309-316.
doi:http://dx.doi.org/
@article{.,
	author = {Regina  Kulvietiene and Genadijus  Kulvietis and Inga  Tumasoniene},
	title = {A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {52},
	number = {5},
	year = {2006},
	keywords = {vibration analysis; computer algebra; symbolic-numeric computations; steady state; },
	abstract = {Computer algebra techniques were applied to analyze the vibrations of systems with many degrees of freedom. For this purpose, two solution methods were compared from the computer algebra point of view, and the harmonic balance method was chosen. The system is divided into linear and nonlinear parts. The linear part of the system can be formalized as usual, and symbolic computations were applied to perform a closed-form solution of the nonlinear part. The symbolic-numeric approach chosen, specially dedicated to systems with many degrees of freedom, affords various advantages: it leads to a simplification of the theoretical formulation of the models, a considerable reduction in the size of the generated equations, and hence in the resulting computing time, and also enhanced portability of the multibody models to other specific environments},
	issn = {0039-2480},	pages = {309-316},	doi = {},
	url = {https://www.sv-jme.eu/article/a-symbolic-numeric-vibrations-analysis-of-systems-with-many-degrees-of-freedom/}
}
Kulvietiene, R.,Kulvietis, G.,Tumasoniene, I.
2006 August 52. A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 52:5
%A Kulvietiene, Regina 
%A Kulvietis, Genadijus 
%A Tumasoniene, Inga 
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%T A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom
%B 2006
%9 vibration analysis; computer algebra; symbolic-numeric computations; steady state; 
%! A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom
%K vibration analysis; computer algebra; symbolic-numeric computations; steady state; 
%X Computer algebra techniques were applied to analyze the vibrations of systems with many degrees of freedom. For this purpose, two solution methods were compared from the computer algebra point of view, and the harmonic balance method was chosen. The system is divided into linear and nonlinear parts. The linear part of the system can be formalized as usual, and symbolic computations were applied to perform a closed-form solution of the nonlinear part. The symbolic-numeric approach chosen, specially dedicated to systems with many degrees of freedom, affords various advantages: it leads to a simplification of the theoretical formulation of the models, a considerable reduction in the size of the generated equations, and hence in the resulting computing time, and also enhanced portability of the multibody models to other specific environments
%U https://www.sv-jme.eu/article/a-symbolic-numeric-vibrations-analysis-of-systems-with-many-degrees-of-freedom/
%0 Journal Article
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%& 309
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%J Strojniški vestnik - Journal of Mechanical Engineering
%V 52
%N 5
%@ 0039-2480
%8 2017-08-18
%7 2017-08-18
Kulvietiene, Regina, Genadijus  Kulvietis, & Inga  Tumasoniene.
"A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom." Strojniški vestnik - Journal of Mechanical Engineering [Online], 52.5 (2006): 309-316. Web.  29 Oct. 2020
TY  - JOUR
AU  - Kulvietiene, Regina 
AU  - Kulvietis, Genadijus 
AU  - Tumasoniene, Inga 
PY  - 2006
TI  - A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - vibration analysis; computer algebra; symbolic-numeric computations; steady state; 
N2  - Computer algebra techniques were applied to analyze the vibrations of systems with many degrees of freedom. For this purpose, two solution methods were compared from the computer algebra point of view, and the harmonic balance method was chosen. The system is divided into linear and nonlinear parts. The linear part of the system can be formalized as usual, and symbolic computations were applied to perform a closed-form solution of the nonlinear part. The symbolic-numeric approach chosen, specially dedicated to systems with many degrees of freedom, affords various advantages: it leads to a simplification of the theoretical formulation of the models, a considerable reduction in the size of the generated equations, and hence in the resulting computing time, and also enhanced portability of the multibody models to other specific environments
UR  - https://www.sv-jme.eu/article/a-symbolic-numeric-vibrations-analysis-of-systems-with-many-degrees-of-freedom/
@article{{}{.},
	author = {Kulvietiene, R., Kulvietis, G., Tumasoniene, I.},
	title = {A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {52},
	number = {5},
	year = {2006},
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TY  - JOUR
AU  - Kulvietiene, Regina 
AU  - Kulvietis, Genadijus 
AU  - Tumasoniene, Inga 
PY  - 2017/08/18
TI  - A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 52, No 5 (2006): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - vibration analysis, computer algebra, symbolic-numeric computations, steady state, 
N2  - Computer algebra techniques were applied to analyze the vibrations of systems with many degrees of freedom. For this purpose, two solution methods were compared from the computer algebra point of view, and the harmonic balance method was chosen. The system is divided into linear and nonlinear parts. The linear part of the system can be formalized as usual, and symbolic computations were applied to perform a closed-form solution of the nonlinear part. The symbolic-numeric approach chosen, specially dedicated to systems with many degrees of freedom, affords various advantages: it leads to a simplification of the theoretical formulation of the models, a considerable reduction in the size of the generated equations, and hence in the resulting computing time, and also enhanced portability of the multibody models to other specific environments
UR  - https://www.sv-jme.eu/article/a-symbolic-numeric-vibrations-analysis-of-systems-with-many-degrees-of-freedom/
Kulvietiene, Regina, Kulvietis, Genadijus, AND Tumasoniene, Inga.
"A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 52 Number 5 (18 August 2017)

Authors

Affiliations

  • Vilnius Gediminas Technical University, Department of Information Technologies, Lithuania
  • Vilnius Gediminas Technical University, Department of Information Technologies, Lithuania
  • Vilnius Gediminas Technical University, Department of Information Technologies, Lithuania

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 52(2006)5, 309-316

Computer algebra techniques were applied to analyze the vibrations of systems with many degrees of freedom. For this purpose, two solution methods were compared from the computer algebra point of view, and the harmonic balance method was chosen. The system is divided into linear and nonlinear parts. The linear part of the system can be formalized as usual, and symbolic computations were applied to perform a closed-form solution of the nonlinear part. The symbolic-numeric approach chosen, specially dedicated to systems with many degrees of freedom, affords various advantages: it leads to a simplification of the theoretical formulation of the models, a considerable reduction in the size of the generated equations, and hence in the resulting computing time, and also enhanced portability of the multibody models to other specific environments

vibration analysis; computer algebra; symbolic-numeric computations; steady state;